137628485465225625
137,628,485,465,225,625 is an odd composite number composed of five prime numbers multiplied together.
What does the number 137628485465225625 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
137628485465225625 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137628485465225625:
33 × 54 × 133 × 313 × 3532
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 31 × 31 × 31 × 353 × 353)See below for interesting mathematical facts about the number 137628485465225625 from the Numbermatics database.
Names of 137628485465225625
- Cardinal: 137628485465225625 can be written as One hundred thirty-seven quadrillion, six hundred twenty-eight trillion, four hundred eighty-five billion, four hundred sixty-five million, two hundred twenty-five thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.37628485465225625 × 1017
Factors of 137628485465225625
Divisors of 137628485465225625
- Number of divisors d(n): 960
-
Complete list of divisors:
1 3 5 9 13 15 25 27 31 39 45 65 75 93 117 125 135 155 169 195 225 279 325 351 353 375 403 465 507 585 625 675 775 837 845 961 975 1059 1125 1209 1395 1521 1625 1755 1765 1875 2015 2197 2325 2535 2883 2925 3177 3375 3627 3875 4185 4225 4563 4589 4805 4875 5239 5295 5625 6045 6591 6975 7605 8125 8649 8775 8825 9531 10075 10881 10943 10985 11625 12493 12675 13767 14415 14625 15717 15885 16875 18135 19375 19773 20925 21125 22815 22945 24025 24375 25947 26195 26475 29791 30225 32829 32955 34875 37479 38025 41301 43245 43875 44125 47151 47655 50375 54405 54715 54925 58125 59319 59657 62465 63375 68107 68835 72075 73125 78585 79425 89373 90675 98487 98865 104625 105625 112437 114075 114725 120125 123903 124609 129735 130975 132375 141453 142259 148955 151125 162409 164145 164775 174375 178971 187395 190125 204321 206505 216225 219375 220625 235755 238275 251875 268119 272025 273575 274625 295461 296595 298285 312325 316875 337311 339233 340535 344175 360375 373827 387283 392925 397125 426777 446865 453375 487227 492435 494325 523125 536913 562185 570375 573625 600625 612963 619515 623045 648675 654875 661875 707265 711295 744775 755625 775541 804357 812045 820725 823875 894855 936975 950625 1017699 1021605 1032525 1081125 1121481 1161849 1178775 1191375 1280331 1340595 1360125 1367875 1373125 1461681 1477305 1482975 1491425 1561625 1610739 1619917 1686555 1696165 1702675 1720875 1801875 1838889 1849367 1869135 1936415 1964625 1985625 2111317 2133885 2234325 2266875 2326623 2436135 2462175 2471625 2684565 2810925 2851875 2868125 3053097 3064815 3097575 3115225 3243375 3274375 3364443 3485547 3536325 3556475 3723875 3840993 3862879 3877705 4021785 4060225 4103625 4119375 4385043 4410029 4474275 4684875 4859751 5034679 5088495 5108025 5162625 5405625 5548101 5607405 5809245 5893875 5956875 6333951 6401655 6702975 6800625 6839375 6979869 7308405 7386525 7414875 7457125 7808125 8053695 8099585 8432775 8480825 8513375 8604375 9159291 9194445 9246835 9345675 9682075 9823125 10456641 10516223 10556585 10669425 11171625 11588637 11633115 12180675 12310875 12358125 13230087 13422825 14054625 14579253 15104037 15265485 15324075 15487875 15576125 16216875 16644303 16822215 17427735 17681625 17782375 18619375 19001853 19204965 19314395 19388525 20108925 20301125 20518125 20939607 21058921 21925215 22050145 22371375 23424375 24041771 24298755 25173395 25442475 25540125 25813125 27740505 28037025 29046225 29469375 31548669 31669755 32008275 33514875 34765911 34899345 36542025 36932625 37074375 37285625 39690261 40268475 40497925 42163875 42404125 42566875 43737759 45312111 45796455 45972225 46234175 46728375 48410375 49932909 50217427 52283205 52581115 52782925 53347125 55858125 57005559 57330377 57943185 58165575 60903375 61554375 63176763 65450827 66150435 67114125 70273125 72125313 72896265 75520185 76327425 76620375 77439375 77880625 83221515 84111075 87138675 88408125 88911875 94646007 95009265 96024825 96571975 96942625 100544625 101505625 104297733 104698035 105294605 109626075 110250725 111856875 119070783 119749249 120208855 121493775 125866975 127212375 127700625 135936333 136710899 138702525 140185125 145231125 150652281 157743345 158348775 160041375 167574375 171991131 173829555 174496725 182710125 184663125 189530289 196352481 198451305 201342375 202489625 210819375 212020625 216375939 218688795 226560555 228982275 229861125 231170875 233641875 242051875 249664545 251087135 261416025 262905575 263914625 266735625 273765973 283938021 285027795 286651885 289715925 290827875 304516875 315883815 327254135 330752175 335570625 359247747 360626565 364481325 377600925 381637125 383101875 410132697 416107575 420555375 435693375 451956843 473230035 475046325 480124125 482859875 484713125 502723125 515973393 521488665 523490175 526473025 548130375 551253625 568590867 589057443 595353915 598746245 601044275 607468875 629334875 636061875 649127817 652826551 679681665 683554495 693512625 700925625 726155625 745294901 753261405 788716725 791743875 800206875 821297919 859955655 869147775 872483625 913550625 947651445 981762405 992256525 1006711875 1012448125 1077743241 1081879695 1093443975 1132802775 1144911375 1149305625 1155854375 1230398091 1248322725 1255435675 1307080125 1314527875 1319573125 1355870529 1368829865 1419690105 1425138975 1433259425 1448579625 1454139375 1547920179 1556740237 1579419075 1636270675 1653760875 1767172329 1777241687 1796238735 1803132825 1822406625 1888004625 1908185625 1958479653 2050663485 2080537875 2102776875 2178466875 2235884703 2259784215 2366150175 2375231625 2400620625 2414299375 2463893757 2579866965 2607443325 2617450875 2632365125 2740651875 2756268125 2842954335 2945287215 2976769575 2993731225 3005221375 3037344375 3146674375 3233229723 3245639085 3264132755 3398408325 3417772475 3467563125 3691194273 3712226719 3726474505 3766307025 3943583625 3958719375 4106489595 4299778275 4345738875 4362418125 4670220711 4738257225 4908812025 4961282625 5331725061 5388716205 5409398475 5467219875 5664013875 5724556875 5875438959 6151990455 6241613625 6277178375 6535400625 6572639375 6707654109 6779352645 6844149325 7098450525 7125694875 7166297125 7242898125 7391681271 7739600895 7783701185 7897095375 8181353375 8268804375 8486745163 8835861645 8886208435 8981193675 9015664125 9112033125 9440023125 9792398265 10253317425 10402689375 11136680157 11179423515 11298921075 11830750875 11876158125 12319468785 12899334825 13037216625 13087254375 13161825625 14010662133 14214771675 14726436075 14883847875 14968656125 15026106875 15995175183 16166148615 16228195425 16320663775 16992041625 17088862375 17626316877 18455971365 18561133595 18632372525 18831535125 19717918125 20122962327 20237623081 20532447975 21498891375 21728694375 23104141931 23351103555 23691286125 24544060125 24806413125 25460235489 26658625305 26943581025 27046992375 27336099375 28320069375 29377194795 30759952275 31208068125 31385891875 33410040471 33538270545 33896763225 34220746625 35492252625 35628474375 35831485625 36958406355 38698004475 38918505925 39485476875 40906766875 42031986399 42433725815 44179308225 44431042175 44905968375 45078320625 47985525549 48258947347 48961991325 51266587125 55683400785 55897117575 56494605375 59153754375 60712869243 61597343925 64496674125 65186083125 69312425793 70053310665 71073858375 73632180375 74419239375 74843280625 76380706467 79975875915 80830743075 81140977125 81603318875 84960208125 85444311875 88131584385 92279856825 92805667975 93161862625 94157675625 100230121413 100614811635 101188115405 102662239875 107494456875 115520709655 116755517775 118456430625 122720300625 127301177445 133293126525 134717905125 135234961875 144776842041 146885973975 153799761375 167050202355 167691352725 169483816125 171103733125 177461263125 182138607729 184792031775 193490022375 194592529625 207937277379 210159931995 212168629075 220896541125 222155210875 224529841875 229142119401 239927627745 241294736735 244809956625 256332935625 263089100053 278417003925 279485587875 282473026875 303564346215 307986719625 322483370625 346562128965 350266553325 355369291875 368160901875 381903532335 399879379575 404153715375 405704885625 408016594375 434330526123 440657921925 461399284125 464028339875 465809313125 501150607065 503074058175 505940577025 513311199375 546415823187 577603548275 583777588875 623811832137 627366315511 636505887225 666465632625 673589525625 723884210205 734429869875 768998806875 789267300159 835251011775 838456763625 847419080625 910693038645 923960158875 967450111875 972962648125 1039686386895 1050799659975 1060843145375 1104482705625 1110776054375 1145710597005 1199638138725 1206473683675 1224049783125 1302991578369 1315445500265 1392085019625 1397427939375 1517821731075 1539933598125 1732810644825 1751332766625 1882098946533 1909517661675 1999396897875 2020768576875 2171652630615 2203289609625 2306996420625 2320141699375 2367801900477 2505753035325 2515370290875 2529702885125 2732079115935 2888017741375 2918887944375 3119059160685 3136831577555 3182529436125 3332328163125 3619421051025 3672149349375 3946336500795 4176255058875 4192283818125 4553465193225 4619800794375 5198431934475 5253998299875 5304215726875 5646296839599 5728552985025 5998190693625 6032368418375 6514957891845 6577227501325 6960425098125 7103405701431 7589108655375 8155762101643 8664053224125 8756663833125 9410494732665 9547588308375 9996984489375 10858263153075 11016448048125 11839009502385 12528765176625 12576851454375 12648514425625 13660395579675 14440088706875 15595295803425 15684157887775 15912647180625 16938890518797 18097105255125 19731682503975 20881275294375 22767325966125 24467286304929 25992159672375 26269991499375 28231484197995 28642764925125 29990953468125 30161842091875 32574789459225 32886137506625 35517028507155 37945543276875 40778810508215 43320266120625 47052473663325 47737941541875 54291315765375 59195047511925 62643825883125 68301977898375 73401858914787 77976479017125 78420789438875 84694452593985 90485526275625 98658412519875 113836629830625 122336431524645 129960798361875 141157420989975 143213824625625 162873947296125 164430687533125 177585142535775 203894052541075 220205576744361 235262368316625 271456578826875 295975237559625 341509889491875 367009294573935 389882395085625 392103947194375 423472262969925 493292062599375 611682157623225 705787104949875 814369736480625 887925712678875 1019470262705375 1101027883721805 1176311841583125 1479876187798125 1835046472869675 2117361314849625 3058410788116125 3528935524749375 4439628563394375 5097351313526875 5505139418609025 9175232364348375 10586806574248125 15292053940580625 27525697093045125 45876161821741875 137628485465225625
- Sum of all divisors σ(n): 286018730988390400
- Sum of proper divisors (its aliquot sum) s(n): 148390245523164775
- 137628485465225625 is an abundant number, because the sum of its proper divisors (148390245523164775) is greater than itself. Its abundance is 10761760057939150
Bases of 137628485465225625
- Binary: 1111010001111010001100000110110110010000100111001100110012
- Hexadecimal: 0x1E8F460DB213999
- Base-36: 11N585DRSXW9
Squares and roots of 137628485465225625
- 137628485465225625 squared (1376284854652256252) is 18941600011451821120291132156640625
- 137628485465225625 cubed (1376284854652256253) is 2606903721864214495104351915728874047733857666015625
-
The
square root of 137628485465225625 is 370983133.6667822491 -
The
cube root of 137628485465225625 is 516300.7749400601
Scales and comparisons
How big is 137628485465225625?- 137,628,485,465,225,625 seconds is equal to 4,376,160,124 years, 48 weeks, 5 days, 3 hours, 33 minutes, 45 seconds.
-
To count from 1 to 137,628,485,465,225,625 would take you about thirteen billion, one hundred twenty-eight million, four hundred eighty thousand, three hundred seventy-four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 137628485465225625 cubic inches would be around 43025.1 feet tall.
Recreational maths with 137628485465225625
- 137628485465225625 backwards is 526522564584826731
- The number of decimal digits it has is: 18
- The sum of 137628485465225625's digits is 81
- More coming soon!
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The information we have on file for 137628485465225625 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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